TAUTOLOGICAL RINGS AND STABILISATION
نویسندگان
چکیده
منابع مشابه
The Tautological Rings of the Moduli Spaces of Stable Maps
We study the tautological rings of the moduli spaces of genus zero stable maps. We show that the rational cohomology of the genus zero stable map spaces to SL flag varieties is entirely tautological. We also discuss the cohomology classes on the space of marked rational irreducible maps to P. The moduli spaces of stable maps received a lot of attention in the past decade due to their relevance ...
متن کاملWeierstrass Cycles and Tautological Rings in Various Moduli Spaces of Algebraic Curves
We analyze Weierstrass cycles and tautological rings in moduli spaces of smooth algebraic curves and in moduli spaces of integral algebraic curves with embedded disks with special attention to moduli spaces of curves having genus ≤ 6. In particular, we show that our general formula gives a good estimate for the dimension of Weierstrass cycles for low genera.
متن کاملThe Tautological Rings of the Moduli Spaces of Stable Maps to Flag Varieties
We show that the rational cohomology classes on the moduli spaces of genus zero stable maps to SL flag varieties are tautological. The Kontsevich moduli stacks of stable maps arise as generalizations of the classical Deligne-Mumford spaces of stable curves. Their intersection theory has been intensively studied in the last decade in relation to enumerative geometry and string theory. Partial re...
متن کاملTautological Entailments
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متن کاملHigher Weil-petersson Volumes and Tautological Constants
We prove in this paper an effective recursion formula for all intersection numbers of mixed ψ and κ classes on moduli spaces of curves. Several related general recursive formulas are also proved. Some of these formulas contain certain tautological constants, which are given by the secant Euler numbers and series expansion of Bessel functions of the first kind.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2021
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089521000045